GRADE 4 SUPPLEMENT - The Math Learning Center

1 GRADE 4 SUPPLEMENTSet D10 Measurement: ConversionsIncludes HActivity 1: Converting Measurements HIndependent Worksheet 1: Equivalent Tables HIndependent Worksheet 2: Conversion Tables & Concepts HKnow relative sizes of measurement units within one system of units including km, m, cm; kg, g; lb, oz.; l, ml. HWithin a single system of measurement, express measurements in a larger unit in terms of a smaller unit. HRecord measurement equivalents in a two-column table. HInterpret a multiplication equation as a comparison. HGenerate a number pattern that follows a given in Mathematics GRADE 4 SupplementSet D10 Measurement: ConversionsThe Math Learning Center , PO Box 12929, Salem, Oregon 97309. Tel.

2 1 800 575 8130. 2013 by The Math Learning Center All rights for publication on Macintosh Desktop Publishing in the United States of Math Learning Center grants permission to classroom teachers to reproduce blackline masters in appropriate quantities for their classroom in Mathematics is a standards-based K 5 curriculum that provides a unique blend of concept development and skills practice in the context of problem solving. It incorpo-rates the Number Corner, a collection of daily skill-building activities for Math Learning Center is a nonprofit organization serving the education community. Our mission is to inspire and enable individuals to discover and develop their mathematical confidence and ability.

3 We offer innovative and standards-based professional development, curriculum, materials, and resources to support Learning and teaching. To find out more, visit us at D10 Measurement: Conversions The Math Learning Center Bridges in Mathematics GRADE 4 SUPPLEMENT Set D10 H Activity 1 ACTIVITYC onverting MeasurementsInstructions for Converting Measurements1. Invite students to consider some standard units of length privately, and then pair-share their ideas. Likely your students will mention inches, feet and yards, and centimeters and meters. Post word re-source cards for a reference, if Display the first scenario and ask students to consider what operation they would use to convert 4 feet into inches.

4 Student Well, I remember that 1 foot is 12 inches, so I skip counted, 12, 24, 36, and 48 on a num-ber line.+ 12+ 12+ 12+ 1212243648012 inches = 1 foot48 inches = 4 feetOverviewStudents explore the structure and relationships while demonstrating fluency with measurement conversions. They use a two-column chart to convert from larger to smaller units, and smaller to larger units and then record the equivalent & Concepts HKnow relative sizes of measurement units within one system of units including km, m, cm; kg, g; lb, oz.; l, ml. HWithin a single system of measurement, express mea-surements in a larger unit in terms of a smaller unit. HRecord measurement equivalents in a two-column table. HInterpret a multiplication equation as a comparison.

5 HGenerate a number pattern that follows a given rule. You ll Need HConverting Measurements Teacher Master (1 copy for display) HWhite boards and markers or journal paper HWord Resource cards for units of measurements (meter, centimeter, kilogram, gram, liter, pound, ounce, inch, foot, yard) Bridges in Mathematics GRADE 4 SUPPLEMENT The Math Learning CenterSet D10 Measurement: ConversionsActivity 1 Converting Measurements (cont.)Teacher So I might set that up as a t-chart like this:FeetInches1 foot 12 inches2 feet 24 inches3 feet 36 inches4 feet 48 inchesStudent I thought of it as 4 12 or 48 inches. I doubled 12, and then doubled 24 to get 48. I used a double-double I wonder what else you notice about these numbers?

6 Turn and share your thinking with your They are all even numbers! They are multiples of 12. It grows by 12 each time. I wonder what the next one would be? 3. Post the second situation and ask students to work it out on their white boards. 13 feet of rope, how many yards? If you have some students that figure it out quickly, ask them to convert 13 feet to Invite students to share their mental math, number line and function tables as strategies for this I m wondering how you solved this one?Student I know that 3 feet equal 1 yard, and 6 feet equal 2 yards, 9 feet equal 3 yards, and 12 feet equal 4 yards. I knew I was getting close. 13 feet is equal to 4 yards, and then you have 1 foot left over.

7 I made a number line like Ajay did.+ 1 yard+ 1 yard+ 1 yard+ 1 foot6912133+ 1 yard03 feet = 1 yard13 feet = 4 yards and 1 footSet D10 Measurement: Conversions The Math Learning Center Bridges in Mathematics GRADE 4 SUPPLEMENT Student I decided to try a t-chart .. I went passed 12, and figured I didn t have enough for 5 yards, so it has to be 4 yards and then you have 1 more yard3 feet2 yards6 feet3 yards9 feet4 yards 12 feet5 yards 15 feetStudents Hey, this time it grows by 3 times as much, and the numbers are odd and then even. Cool. So 10 yards are going to be 30 feet. 50 yards are going to be 150 feet. I get Can I show you another way of keeping track? Sometimes mathematicians use pairs of numbers like (1 yard, 3 feet), (2, 6), (3, 9), (4, 12) to keep track of their conversions.

8 Would you turn and talk to your partner? What is the next pair of numbers in this sequence? (5 yards, ? feet)5. Continue through the measurement situations, monitoring the strategies that student use to keep track of their thinking. Share efficient, flexible and accurate ways of converting measurement : Students who understand the concept can create multi-step riddles for one another to solve using units of measure. For example: I am 16 inches from foot to knee and 37 inches from knee to head. How tall am I in feet and inches? INDEPENDENT WORKSHEETA ssign Set D10, Independent Worksheet 1, Equivalent Tables (page ) and Independent Worksheet 2 Conversion Tables (page ) for additional practice with converting 1 Converting Measurements (cont.)

9 Bridges in Mathematics GRADE 4 SUPPLEMENT The Math Learning CenterNAME DATESet D10 Measurement: Conversions Blackline Run 1 copy for A critter dug a four-foot tunnel in the back yard. How many inches did he dig? 2 If I have 13 feet of rope, how many yards do I have? 3 The lunchroom table measured six feet long. How many inches is that?4 You want to build a fence for your new puppy. The fence needs to be 16 yards long. The wood for the fence is sold in foot long units. How many feet of fencing will you need to build your fence? 5 You and a friend are making a poster. You need two yards of ribbon to put around the edge of the poster. You have a piece of ribbon that is 60 inches long. Do you have enough to go around the poster?

10 The Math Learning Center Bridges in Mathematics GRADE 4 SUPPLEMENT NAME DATESet A12 Number & Operations: Dividing Fractions & Whole Numbers Blackline Use anytime after Set D10, Activity D10 H Independent Worksheet 1 INDEPENDENT WORKSHEETE quivalent Tables1 Complete the table below and record at least two mathematical observations about the rule and relationship between the measurement (m)Centimeters (cm)1 m100 cm2 m300 cm4 m500 cm600 cm7 mI noticed:2 A very large bag of frozen vegetables weighs 64 ounces (oz.). How many pounds (lb.) is this? Create a table to show your thinkingOunces (oz.)Pounds (lb.)16 lb. Show your thinking another way(Continued on next page.) Bridges in Mathematics GRADE 4 SUPPLEMENT The Math Learning CenterNAME DATESet A12 Number & Operations: Dividing Fractions & Whole Numbers Blackline Equivalent Tables (cont.)